:: Library Catalog

Cover Image

Saved in:

Bibliographic Details
Main Authors:	Shangguan, Chong, Yang, Yulin, Zhang, Tao
Format:	Preprint
Published:	2025
Subjects:	Combinatorics
Online Access:	https://arxiv.org/abs/2509.17563
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Improved Rate-versus-Distance Upper Bounds for LDPC Codes
by: Shangguan, Chong, et al.
Published: (2026)

Incidence geometry and polynomial expansion over finite fields
by: Arala, Nuno, et al.
Published: (2024)

Bourgain-type projection theorems over finite fields
by: Rose, Alex
Published: (2025)

Constrained coding upper bounds via Goulden-Jackson cluster theorem
by: Shen, Yuanting, et al.
Published: (2024)

Intersecting families of polynomials over finite fields
by: Salia, Nika, et al.
Published: (2024)

Beyond chromatic threshold via the $(p,q)$-theorem, and a sharp blow-up phenomenon
by: Liu, Hong, et al.
Published: (2024)

On the Furstenberg-Katznelson constant for the IP Szemeredi theorem over finite fields
by: Shalom, Or
Published: (2026)

Product representations of polynomials over finite fields
by: Lee, Hyunwoo, et al.
Published: (2026)

Separating symmetric polynomials over finite fields
by: Lopatin, Artem, et al.
Published: (2024)

Palindromicity of multivariate Eulerian polynomials
by: Nevado, Alejandro González
Published: (2026)

Sharp bounds for uniform union-free hypergraphs
by: Liu, Miao, et al.
Published: (2026)

Asymptotically sharp bounds for cancellative and union-free hypergraphs
by: Liu, Miao, et al.
Published: (2024)

The number of solutions of a random system of polynomials over a finite field
by: Jain, Ritik
Published: (2024)

Expansion properties of polynomials over finite fields
by: Arala, Nuno, et al.
Published: (2024)

$f$-Diophantine sets over finite fields via quasi-random hypergraphs from multivariate polynomials
by: Kim, Seoyoung, et al.
Published: (2025)

Lower bounds for multivariate independence polynomials and their generalisations
by: Lee, Joonkyung, et al.
Published: (2026)

Approximate generalized Steiner systems and near-optimal constant weight codes
by: Liu, Miao, et al.
Published: (2024)

A symmetric multivariate Elekes-Rónyai theorem
by: Sun, Yewen
Published: (2025)

Stable multivariate Narayana polynomials and labeled plane trees
by: Yang, Harold R. L., et al.
Published: (2024)

New Nikodym set constructions over finite fields
by: Tao, Terence
Published: (2025)

Ranges of polynomials control degree ranks of Green and Tao over finite prime fields
by: Karam, Thomas
Published: (2023)

A strengthening of McConnel's theorem on permutations over finite fields
by: Yip, Chi Hoi
Published: (2024)

The differential properties of certain permutation polynomials over finite fields
by: Garg, Kirpa, et al.
Published: (2023)

m-distance-regular graphs and their relation to multivariate P-polynomial association schemes
by: Bernard, Pierre-Antoine, et al.
Published: (2023)

A point-variety incidence theorem over finite fields, and its applications
by: Kong, Xiangliang, et al.
Published: (2024)

Sphere intersections and incidences over finite fields
by: Koh, Doowon, et al.
Published: (2025)

$D$-finite multivariate series with arithmetic restrictions on their coefficients
by: Bell, Jason, et al.
Published: (2022)

Asymmetric SICs over finite fields
by: Iverson, Joseph W., et al.
Published: (2025)

Multidimensional polynomial patterns over finite fields: bounds, counting estimates and Gowers norm control
by: Kuca, Borys
Published: (2023)

Near optimal constructions of frameproof codes
by: Liu, Miao, et al.
Published: (2024)

The Szemerédi-Trotter theorem over arbitrary field of characteristic zero
by: Shen, Jiahe
Published: (2025)

Multipartite nearly orthogonal sets over finite fields
by: Nenadov, Rajko, et al.
Published: (2024)

An improved non-linear Roth-type theorem in finite fields
by: Lewko, Mark
Published: (2026)

Focal-free uniform hypergraphs and codes
by: Huang, Xinqi, et al.
Published: (2024)

Explicit Rank Extractors and Subspace Designs via Function Fields, with Applications to Strong Blocking Sets
by: Guo, Zeyu, et al.
Published: (2026)

Optimal bounds on the polynomial Schur's theorem
by: Kim, Jaehoon, et al.
Published: (2024)

Intersection problems for linear codes and polynomials over finite fields
by: Adriaensen, Sam
Published: (2025)

Distribution of the number of zeros of polynomials over a finite field
by: Jain, Ritik, et al.
Published: (2023)

Webs and squabs of conics over finite fields
by: Alnajjarine, Nour, et al.
Published: (2024)

A functional Loomis-Whitney type inequality in the Heisenberg group and projection theorems over finite fields
by: Cheong, Daewoong, et al.
Published: (2025)